xref: /dflybsd-src/contrib/mpfr/src/round_raw_generic.c (revision 2786097444a0124b5d33763854de247e230c6629)

/* mpfr_round_raw_generic -- Generic rounding function

Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
Contributed by the AriC and Caramel projects, INRIA.

This file is part of the GNU MPFR Library.

The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

The GNU MPFR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
License for more details.

You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */

#ifndef flag
# error "ERROR: flag must be defined (0 / 1)"
#endif
#ifndef use_inexp
# error "ERROR: use_enexp must be defined (0 / 1)"
#endif
#ifndef mpfr_round_raw_generic
# error "ERROR: mpfr_round_raw_generic must be defined"
#endif

/*
 * If flag = 0, puts in y the value of xp (with precision xprec and
 * sign 1 if negative=0, -1 otherwise) rounded to precision yprec and
 * direction rnd_mode. Supposes x is not zero nor NaN nor +/- Infinity
 * (i.e. *xp != 0). In that case, the return value is a possible carry
 * (0 or 1) that may happen during the rounding, in which case the result
 * is a power of two.
 *
 * If inexp != NULL, put in *inexp the inexact flag of the rounding (0, 1, -1).
 * In case of even rounding when rnd = MPFR_RNDN, put MPFR_EVEN_INEX (2) or
 * -MPFR_EVEN_INEX (-2) in *inexp.
 *
 * If flag = 1, just returns whether one should add 1 or not for rounding.
 *
 * Note: yprec may be < MPFR_PREC_MIN; in particular, it may be equal
 * to 1. In this case, the even rounding is done away from 0, which is
 * a natural generalization. Indeed, a number with 1-bit precision can
 * be seen as a denormalized number with more precision.
 */

int
mpfr_round_raw_generic(
#if flag == 0
                       mp_limb_t *yp,
#endif
                       const mp_limb_t *xp, mpfr_prec_t xprec,
                       int neg, mpfr_prec_t yprec, mpfr_rnd_t rnd_mode
#if use_inexp != 0
                       , int *inexp
#endif
                       )
{
  mp_size_t xsize, nw;
  mp_limb_t himask, lomask, sb;
  int rw;
#if flag == 0
  int carry;
#endif
#if use_inexp == 0
  int *inexp;
#endif

  if (use_inexp)
    MPFR_ASSERTD(inexp != ((int*) 0));
  MPFR_ASSERTD(neg == 0 || neg == 1);

  if (flag && !use_inexp &&
      (xprec <= yprec || MPFR_IS_LIKE_RNDZ (rnd_mode, neg)))
    return 0;

  xsize = MPFR_PREC2LIMBS (xprec);
  nw = yprec / GMP_NUMB_BITS;
  rw = yprec & (GMP_NUMB_BITS - 1);

  if (MPFR_UNLIKELY(xprec <= yprec))
    { /* No rounding is necessary. */
      /* if yp=xp, maybe an overlap: MPN_COPY_DECR is ok when src <= dst */
      if (MPFR_LIKELY(rw))
        nw++;
      MPFR_ASSERTD(nw >= 1);
      MPFR_ASSERTD(nw >= xsize);
      if (use_inexp)
        *inexp = 0;
#if flag == 0
      MPN_COPY_DECR(yp + (nw - xsize), xp, xsize);
      MPN_ZERO(yp, nw - xsize);
#endif
      return 0;
    }

  if (use_inexp || !MPFR_IS_LIKE_RNDZ(rnd_mode, neg))
    {
      mp_size_t k = xsize - nw - 1;

      if (MPFR_LIKELY(rw))
        {
          nw++;
          lomask = MPFR_LIMB_MASK (GMP_NUMB_BITS - rw);
          himask = ~lomask;
        }
      else
        {
          lomask = ~(mp_limb_t) 0;
          himask = ~(mp_limb_t) 0;
        }
      MPFR_ASSERTD(k >= 0);
      sb = xp[k] & lomask;  /* First non-significant bits */
      /* Rounding to nearest ? */
      if (MPFR_LIKELY( rnd_mode == MPFR_RNDN) )
        {
          /* Rounding to nearest */
          mp_limb_t rbmask = MPFR_LIMB_ONE << (GMP_NUMB_BITS - 1 - rw);
          if (sb & rbmask) /* rounding bit */
            sb &= ~rbmask; /* it is 1, clear it */
          else
            {
              /* Rounding bit is 0, behave like rounding to 0 */
              goto rnd_RNDZ;
            }
          while (MPFR_UNLIKELY(sb == 0) && k > 0)
            sb = xp[--k];
          /* rounding to nearest, with rounding bit = 1 */
          if (MPFR_UNLIKELY(sb == 0)) /* Even rounding. */
            {
              /* sb == 0 && rnd_mode == MPFR_RNDN */
              sb = xp[xsize - nw] & (himask ^ (himask << 1));
              if (sb == 0)
                {
                  if (use_inexp)
                    *inexp = 2*MPFR_EVEN_INEX*neg-MPFR_EVEN_INEX;
                  /* ((neg!=0)^(sb!=0)) ? MPFR_EVEN_INEX  : -MPFR_EVEN_INEX;*/
                  /* Since neg = 0 or 1 and sb=0*/
#if flag == 1
                  return 0 /*sb != 0 && rnd_mode != MPFR_RNDZ */;
#else
                  MPN_COPY_INCR(yp, xp + xsize - nw, nw);
                  yp[0] &= himask;
                  return 0;
#endif
                }
              else
                {
                  /* sb != 0 && rnd_mode == MPFR_RNDN */
                  if (use_inexp)
                    *inexp = MPFR_EVEN_INEX-2*MPFR_EVEN_INEX*neg;
                  /*((neg!=0)^(sb!=0))? MPFR_EVEN_INEX  : -MPFR_EVEN_INEX; */
                  /*Since neg= 0 or 1 and sb != 0 */
                  goto rnd_RNDN_add_one_ulp;
                }
            }
          else /* sb != 0  && rnd_mode == MPFR_RNDN*/
            {
              if (use_inexp)
                /* *inexp = (neg == 0) ? 1 : -1; but since neg = 0 or 1 */
                *inexp = 1-2*neg;
            rnd_RNDN_add_one_ulp:
#if flag == 1
              return 1; /*sb != 0 && rnd_mode != MPFR_RNDZ;*/
#else
              carry = mpn_add_1 (yp, xp + xsize - nw, nw,
                                 rw ?
                                 MPFR_LIMB_ONE << (GMP_NUMB_BITS - rw)
                                 : MPFR_LIMB_ONE);
              yp[0] &= himask;
              return carry;
#endif
            }
        }
      /* Rounding to Zero ? */
      else if (MPFR_IS_LIKE_RNDZ(rnd_mode, neg))
        {
          /* rnd_mode == MPFR_RNDZ */
        rnd_RNDZ:
          while (MPFR_UNLIKELY(sb == 0) && k > 0)
            sb = xp[--k];
          if (use_inexp)
            /* rnd_mode == MPFR_RNDZ and neg = 0 or 1 */
            /* (neg != 0) ^ (rnd_mode != MPFR_RNDZ)) ? 1 : -1);*/
            *inexp = MPFR_UNLIKELY(sb == 0) ? 0 : (2*neg-1);
#if flag == 1
          return 0; /*sb != 0 && rnd_mode != MPFR_RNDZ;*/
#else
          MPN_COPY_INCR(yp, xp + xsize - nw, nw);
          yp[0] &= himask;
          return 0;
#endif
        }
      else
        {
          /* rnd_mode = Away */
          while (MPFR_UNLIKELY(sb == 0) && k > 0)
            sb = xp[--k];
          if (MPFR_UNLIKELY(sb == 0))
            {
              /* sb = 0 && rnd_mode != MPFR_RNDZ */
              if (use_inexp)
                /* (neg != 0) ^ (rnd_mode != MPFR_RNDZ)) ? 1 : -1);*/
                *inexp = 0;
#if flag == 1
              return 0;
#else
              MPN_COPY_INCR(yp, xp + xsize - nw, nw);
              yp[0] &= himask;
              return 0;
#endif
            }
          else
            {
              /* sb != 0 && rnd_mode != MPFR_RNDZ */
              if (use_inexp)
                /* (neg != 0) ^ (rnd_mode != MPFR_RNDZ)) ? 1 : -1);*/
                *inexp = 1-2*neg;
#if flag == 1
              return 1;
#else
              carry = mpn_add_1(yp, xp + xsize - nw, nw,
                                rw ? MPFR_LIMB_ONE << (GMP_NUMB_BITS - rw)
                                : 1);
              yp[0] &= himask;
              return carry;
#endif
            }
        }
    }
  else
    {
      /* Roundind mode = Zero / No inexact flag */
#if flag == 1
      return 0 /*sb != 0 && rnd_mode != MPFR_RNDZ*/;
#else
      if (MPFR_LIKELY(rw))
        {
          nw++;
          himask = ~MPFR_LIMB_MASK (GMP_NUMB_BITS - rw);
        }
      else
        himask = ~(mp_limb_t) 0;
      MPN_COPY_INCR(yp, xp + xsize - nw, nw);
      yp[0] &= himask;
      return 0;
#endif
    }
}

#undef flag
#undef use_inexp
#undef mpfr_round_raw_generic